Heat kernel estimates for the fractional Laplacian with Dirichlet conditions
Top Cited Papers
Open Access
- 1 September 2010
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Probability
- Vol. 38 (5) , 1901-1923
Abstract
We give sharp estimates for the heat kernel of the fractional Laplacian with Dirichlet condition for a general class of domains including Lipschitz domains.Keywords
All Related Versions
This publication has 37 references indexed in Scilit:
- Heat kernel estimates for the fractional Laplacian with Dirichlet conditionsThe Annals of Probability, 2010
- Heat kernel of fractional Laplacian in conesColloquium Mathematicum, 2010
- Heat kernel estimates for jump processes of mixed types on metric measure spacesProbability Theory and Related Fields, 2007
- Estimates and structure of α-harmonic functionsProbability Theory and Related Fields, 2007
- Estimates of the potential kernel and Harnack's inequality for the anisotropic fractional LaplacianStudia Mathematica, 2007
- Gaussian Estimates in Lipschitz DomainsCanadian Journal of Mathematics, 2003
- Harnack inequality for stable processes on d-setsStudia Mathematica, 2003
- The Boundary Behavior of Heat Kernels of Dirichlet LaplaciansJournal of Differential Equations, 2002
- On the Distribution of First Hits for the Symmetric Stable ProcessesTransactions of the American Mathematical Society, 1961
- Some theorems on stable processesTransactions of the American Mathematical Society, 1960